Lens L1 in Figure P23.45 has a focal length of 15.0 cm and is located a fixed distance in front of the fi lm plane of a camera. Lens L2 has a focal length of 13.0 cm, and its distance d from the fi lm plane can be varied from 5.00 cm to 10.0 cm. Determine the range of distances for which objects can be focused on the film.FIGURE P23.45

6. A nearsighted man uses his ideally prescribed eyeglasses that have a refractive power of -3.00 diopters. He would like a prescription for contact lenses. What is the correct contact lens distance of 2.0 cm from his eyes? diopters ssf60 ss prescription if he normally wears his eyeglasses a f60 ssf60 pre 0 ssf60 sta

A microscope in the lab uses a lens with a focal length of 8.0 mm and an eyepiece with a focal length of 18 mm. The distance between the lens and the eyepiece is 19.7 cm. We use the microscope so that the eyes focus as if the object were placed infinitely far away. We treat the lenses as if they were "thin". a) How much distance must there be between the object and the lens when using the microscope?

30. In Figure P35.30, a thin converging lens of focal length QIC 14.0 cm forms an image of the square abcd, which is h, h, = 10.0 cm high and lies between distances of p, = 20.0 cm and p. = 30.0 cm from the lens. Let a', b', c', and d' represent the respective corners of the image. Let q, rep- resent the image distance for points a' and b', q. represent the image dis- tance for points e' and d', , represent the dis- tance from point b' to the axis, and h represent the height of c'. (a) Find g. Ie h, and h'. (b) Make a sketch of the image. (c) The area of the object is 100 cm?. By carrying out the following steps, you will evaluate the area of the image. Let q represent the image distance of any point between a' and d', for which the object distance is p. Let k' represent the dis- tance from the axis to the point at the edge of the image between b' and c' at image distance q. Demonstrate that a dF a Figure P35.30 |시= 10.0g 14.0

It is your first day at work as a summer intern at an optics company. Your supervisor hands you a diverging lens and asks you to measure its focal length. You know that with a converging lens, you can measure the focal length by placing an object a distance ss to the left of the lens, far enough from the lens for the image to be real, and viewing the image on a screen that is to the right of the lens. By adjusting the position of the screen until the image is in sharp focus, you can determine the image distance s′s′ and then use the equation 1s+1s′=1f1s+1s′=1f, to calculate the focal length ff of the lens. But this procedure won'’t work with a diverging lens−−by itself, a diverging lens produces only virtual images, which can'’t be projected onto a screen. Therefore, to determine the focal length of a diverging lens, you do the following: First you take a converging lens and measure that, for an object 20.0 cmcm to the left of the lens, the image is 29.7 cmcm to the right of the lens.…

Q1 a) The eyepiece of a refracting telescope has a focal length of 9.00cm. The distance between objective and eyepiece is 1.80m, and the final image is at infinity. What is the angular magnification of the telescope? F=580×10² 14

A farsighted person can read printing as close as 25.0 cm when she wears contacts that have a focal length of 38.0 cm. One day, however, she forgets her contacts and uses a magnifying glass, as in the drawing. It has a maximum angular magnification of 7.42 for a young person with a normal near point of 25.0 cm. What is the maximum angular magnification that the magnifying glass can provide for her? Virtual Magnifying glass Object LE ho dj. image

b) A lens forms an image of an object. The object is 16.0 cm from the lens. The image is 12.0 cm from the lens on the same side as the object. What is the focal length of the lens? Is the lens converging or diverging?

A student's uncorrected near and far points are at 9.0 cm and infinity, respectively. She looks through a meniscus-shaped lens as shown in the figure. The absolute value of the radius of curvature is 2.4 cm on the side of the lens near her eye, and 2.6 cm on the side away from her eye. The index of refraction of the lens is 1.4. What is the closest an object can get to the lens and still be clearly visible to the student? [You may assume that the lens is very close to her eye.] eye 3.5 cm 78.0 cm 10.2 cm 8.1 cm 2.3 cm

A 1.7 m tall person stands 8.0 m in front of a camera with a 5.0 cm focal length converging lens. What is the size of the image formed on film? 68.0 cm O 23.5 cm 2.7 cm 0.37 cm 1.1 cm 5.0 cm